Finding the Fourth Proportional to 2,080.15, 2,871.18 and 1,407.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,080.15 : 2,871.18 = 1,407.64 : x
2. Step 2: Convert to fraction form
   2,080.15/2,871.18 = 1,407.64/x
3. Step 3: Cross multiply
   2,080.15x = 2,871.18 × 1,407.64
4. Step 4: Simplify right side
   2,080.15x = 4,041,587.82
5. Step 5: Solve for x
   x = 4,041,587.82/2,080.15
6. Step 6: Final answer
   x = 1,942.93